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Finding the Fourth Proportional to 6,206.80, 8,564.16 and 4,109.68

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Solution

The fourth proportional to 6,206.80, 8,564.16 and 4,109.68 is: 5,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.80 : 8,564.16 = 4,109.68 : x
  2. Step 2: Convert to fraction form
    6,206.80/8,564.16 = 4,109.68/x
  3. Step 3: Cross multiply
    6,206.80x = 8,564.16 × 4,109.68
  4. Step 4: Simplify right side
    6,206.80x = 35,195,957.07
  5. Step 5: Solve for x
    x = 35,195,957.07/6,206.80
  6. Step 6: Final answer
    x = 5,670.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.